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Finding the Fourth Proportional to 8,134.19, 12,203 and 4,625.88

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Solution

The fourth proportional to 8,134.19, 12,203 and 4,625.88 is: 6,939.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.19 : 12,203 = 4,625.88 : x
  2. Step 2: Convert to fraction form
    8,134.19/12,203 = 4,625.88/x
  3. Step 3: Cross multiply
    8,134.19x = 12,203 × 4,625.88
  4. Step 4: Simplify right side
    8,134.19x = 56,449,613.64
  5. Step 5: Solve for x
    x = 56,449,613.64/8,134.19
  6. Step 6: Final answer
    x = 6,939.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.